Furthermore, the \(s_i\)  appear as leading term coefficients in the asymptotics
as \(t\rightarrow \infty \)  of the
corresponding solution \(w\)  (see [1]} for a precise statement).
It follows from this (and Theorem REF  above) that the global
solutions are characterized equally well by their asymptotics at \(t=\infty \) 
as by their asymptotics at \(t=0\) . This is another property predicted by
Cecotti and Vafa, on the grounds that \(w\)  represents the
renormalization group flow between the chiral data at \(t=0\)  (in our notation,
the \(k_i\)  or \(m_i\) ) and the soliton data at \(t=\infty \)  (the \(s_i\) ).
